Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 565, 375, 955 i.e. 5 largest integer that divides all the numbers equally.
GCD of 565, 375, 955 is 5
GCD(565, 375, 955) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 565, 375, 955 is 5
GCD(565, 375, 955) = 5
Given Input numbers are 565, 375, 955
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 565
List of positive integer divisors of 565 that divides 565 without a remainder.
1, 5, 113, 565
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Greatest Common Divisior
We found the divisors of 565, 375, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 375, 955 is 5.
Therefore, GCD of numbers 565, 375, 955 is 5
Given Input Data is 565, 375, 955
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 565 is 5 x 113
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 955 is 5 x 191
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(565, 375) = 42375
GCD(565, 375) = ( 565 x 375 ) / 42375
GCD(565, 375) = 211875 / 42375
GCD(565, 375) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 955) = 955
GCD(5, 955) = ( 5 x 955 ) / 955
GCD(5, 955) = 4775 / 955
GCD(5, 955) = 5
GCD of 565, 375, 955 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 565, 375, 955?
GCD of 565, 375, 955 is 5
2. Where do I get the detailed procedure to find GCD of 565, 375, 955?
You can find a detailed procedure to find GCD of 565, 375, 955 on our page.
3. How to find GCD of 565, 375, 955 on a calculator?
You can find the GCD of 565, 375, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.